Jordy Lopez Garcia
University of Notre Dame
12:30 PM
154 Hurley Hall
Reality in Bisecants of Twisted Cubic Curves
In algebraic geometry, it is known that a general pair of twisted cubic curves in complex projective space has ten common secant lines. We use computational tools to investigate a novel question in real algebraic geometry: describe the possible collections of ten common secant lines to a pair of real projective twisted cubic curves. In addition to distinguishing between real and nonreal secant lines, we introduce a refinement of this classification which takes into account the intersection points with the corresponding twisted cubic curves.
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(This seminar is reserved for ACMS Graduate students and Postdocs only)